Beyond the plane-parallel and Newtonian approach: Wide-angle redshift distortions and convergence in general relativity

Abstract

We extend previous analyses of wide-angle correlations in the galaxy power spectrum in redshift space to include all general relativistic effects. These general relativistic corrections to the standard approach become important on large scales and at high redshifts, and they lead to new terms in the wide-angle correlations. We show that in principle the new terms can produce corrections of nearly 10 % on Gpc scales over the usual Newtonian approximation. General relativistic corrections will be important for future large-volume surveys such as SKA and Euclid, although the problem of cosmic variance will present a challenge in observing this.

14 pages, 5 figures; Typo in equation 5 corrected; results unaffected

References in corpus (4)

• Measuring primordial non-gaussianity without cosmic variance
• Going beyond the Kaiser redshift-space distortion formula: a full general relativistic account of the effects and their detectability in galaxy clustering
• Large-Scale Structure with Gravitational Waves I: Galaxy Clustering
• Relativistic effects and primordial non-Gaussianity in the galaxy bias

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